scholarly journals An inequality for distances among n points and distance preserving mappings

2019 ◽  
pp. 969-981
Author(s):  
Soon-Mo Jung ◽  
Do un Nam
Keyword(s):  
Distance Preserving Mappings

Using Graphs for the Analysis and Construction of Permutation Distance-Preserving Mappings

2008 ◽  
Vol 54 (2) ◽  
pp. 910-916 ◽  
Author(s):  
Theo G. Swart ◽  
Hendrik C. Ferreira ◽  
Khmaies Ouahada
Keyword(s):  
Distance Preserving Mappings

ON THE ALEKSANDROV–RASSIAS PROBLEM OF DISTANCE PRESERVING MAPPINGS

2015 ◽  
Vol 91 (3) ◽  
pp. 464-470
Author(s):  
SHUMING WANG ◽  
WEIYUN REN
Keyword(s):  
Important Case ◽  
Distance Preserving Mappings

In this paper, we introduce the concept of a semi-parallelogram and obtain some results for the Aleksandrov–Rassias problem using this concept. In particular, we resolve an important case of this problem for mappings preserving two distances with a nonintegral ratio.

scholarly journals Simple Distance-Preserving Mappings From Ternary Vectors to Permutations

2008 ◽  
Vol 54 (7) ◽  
pp. 3251-3256 ◽  
Author(s):  
Te-Tsung Lin ◽  
Shi-Chun Tsai ◽  
Hsin-Lung Wu
Keyword(s):  
Distance Preserving Mappings

scholarly journals ON DISTANCE-PRESERVING MAPPINGS

2004 ◽  
Vol 41 (4) ◽  
pp. 667-680 ◽  
Author(s):  
Soon-Mo Jung ◽  
Themistocles M.Rassias
Keyword(s):  
Distance Preserving Mappings
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